21127967120 has 80 divisors (see below), whose sum is σ = 53004076272. Its totient is φ = 7785922560.

The previous prime is 21127967101. The next prime is 21127967129. The reversal of 21127967120 is 2176972112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4806371584 + 16321595536 = 69328^2 + 127756^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21127967129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522344 + ... + 561336.

Almost surely, 2^21127967120 is an apocalyptic number.

21127967120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21127967120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26502038136).

21127967120 is an abundant number, since it is smaller than the sum of its proper divisors (31876109152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21127967120 is a wasteful number, since it uses less digits than its factorization.

21127967120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39540 (or 39534 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The spelling of 21127967120 in words is "twenty-one billion, one hundred twenty-seven million, nine hundred sixty-seven thousand, one hundred twenty".